X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fdama%2Fconstructive_connectives.ma;h=78e2ec571639f54103b6df1632df9c9022c7d577;hb=10f29fdd78ee089a9a94446207b543d33d6c851c;hp=259357934da012a99aba8adafac2febba1152462;hpb=bf45bade243d89f2171e76e8eaa9a58489eda45c;p=helm.git

diff --git a/helm/software/matita/dama/constructive_connectives.ma b/helm/software/matita/dama/constructive_connectives.ma
index 259357934..78e2ec571 100644
--- a/helm/software/matita/dama/constructive_connectives.ma
+++ b/helm/software/matita/dama/constructive_connectives.ma
@@ -12,12 +12,42 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/constructive_connectives/".
+include "logic/connectives.ma".
 
-inductive or (A,B:Type) : Type \def
-   Left : A → or A B
- | Right : B → or A B.
+inductive Or (A,B:Type) : Type ≝
+   Left : A → Or A B
+ | Right : B → Or A B.
 
-interpretation "classical or" 'or x y =
-  (cic:/matita/constructive_connectives/or.ind#xpointer(1/1) x y).
+interpretation "constructive or" 'or x y =
+  (cic:/matita/constructive_connectives/Or.ind#xpointer(1/1) x y).
 
+inductive And (A,B:Type) : Type ≝
+ | Conj : A → B → And A B.
+ 
+interpretation "constructive and" 'and x y =
+  (cic:/matita/constructive_connectives/And.ind#xpointer(1/1) x y).
+
+inductive exT (A:Type) (P:A→Type) : Type ≝
+  ex_introT: ∀w:A. P w → exT A P.
+
+inductive ex (A:Type) (P:A→Prop) : Type ≝
+  ex_intro: ∀w:A. P w → ex A P.
+
+(*
+notation < "hvbox(Σ ident i opt (: ty) break . p)"
+  right associative with precedence 20
+for @{ 'sigma ${default
+  @{\lambda ${ident i} : $ty. $p)}
+  @{\lambda ${ident i} . $p}}}.
+*)
+
+interpretation "constructive exists" 'exists \eta.x =
+  (cic:/matita/constructive_connectives/ex.ind#xpointer(1/1) _ x).
+interpretation "constructive exists (Type)" 'exists \eta.x =
+  (cic:/matita/constructive_connectives/exT.ind#xpointer(1/1) _ x).
+
+alias id "False" = "cic:/matita/logic/connectives/False.ind#xpointer(1/1)".
+definition Not ≝ λx:Type.x → False.
+
+interpretation "constructive not" 'not x = 
+  (cic:/matita/constructive_connectives/Not.con x).